1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erik [133]
2 years ago
12

Sari is teaching her best friend how to factor trinomials with a leading coefficient greater than 1. She starts with the trinomi

al
2x^2+5x+3


Show/Describe all of the steps for finding the factorization of the trinomial. Be sure to include the final factorization in your description.
Mathematics
1 answer:
Eva8 [605]2 years ago
6 0

Answer:

See explanation

2x^2+5x+3=(x+1)(2x+3)

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

2x^2+5x+3

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

2\cdot 3=6

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

6=1\cdot 6\\ \\ \bf{6=2\cdot 3}

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

2+3=5

6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:

2x^2+5x+3=2x^2+2x+3x+3

7. Now that the problem is written with four terms, you can factor by grouping:

2x^2 +2x+3x+3=(2x^2+2x)+(3x+3)=2x(x+1)+3(x+1)=(x+1)(2x+3)

You might be interested in
Shannon drew the line of best fit on the scatter plot shown below:
N76 [4]
Using the points (0,14) and (10,0), the gradient of the line is (14-0)/(0-5) which simplifies to -7/5.

From these points, we can also see that when the x value is zero, the y value is 14. Therefore the y-intercept is 14.

We can then put this into the equation of a straight line, y=mx+c:

y = (-7/5)x + 14
6 0
2 years ago
Read 2 more answers
The students begin to play games. Each game takes 10 minutes
zvonat [6]
What are you looking for?
4 0
3 years ago
Need help asap!!!!!!!
kherson [118]

Answer:

Multiplication

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
a piece of art is in the shape of an equilateral triangle with side of 6 inches what is the area of the art
Nitella [24]
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2

so if base is 6 then height is (6√3)/2=3√3

area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
8 0
3 years ago
A warehouse holds 100 barrels in storage each barrel has a capacity of 50 liters if all the barrels are filled with water how ma
aksik [14]
100 barrels * 50 liters = 5000 liters of water. 1 kiloliter = 1000 liters, so there are 5 kilo liters
6 0
2 years ago
Other questions:
  • The sum of 3 consecutive odd numbers is 51 <br><br><br> What is the second number in this sequence
    10·1 answer
  • -6 (9 - 4)
    9·1 answer
  • Jamin wants to paint a wall in his bedroom. Not only does he need to buy paint, but he also needs to buy tape to tape off all si
    5·2 answers
  • Sailor moon is atop the lighthouse that is 40 feet high. She looks down and sees her best friend, memory on a boat at point C, 5
    8·1 answer
  • Does 100cm equal 1m
    12·2 answers
  • HELP!!!! PLEASE!!!
    7·1 answer
  • The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence
    13·1 answer
  • Please, help me. Thanks. <br> Subject: Hypothesis testing and margin of errors
    12·1 answer
  • What is the measure of ZEKY in this figure?
    14·1 answer
  • Assuming a​ 1-year, money market account investment at 2.55 percent​ (APY), a ​1.11 % inflation​ rate, a 28 percent marginal tax
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!